
Point-slope form is
, where
is the slope and
is a point on the line.
Substitute in the values. 
Simplify the negative subtraction to addition. 
Answer:
D
Step-by-step explanation:
It wouldnt be a single grade being surveyed so we would choose d in additon a and b isnt national since it says 'in a certain town' and 'in a certain county'.
Which leaves you with D.
Answer:
x = 3
Step-by-step explanation:
The smaller triangle and larger one are similar, so corresponding sides are proportional.
8/4 = (8 +(x -1))/5
10 = x +7 . . . . . . . . . multiply by 5 and simplify
3 = x . . . . . . . . . subtract 7
__
<em>Alternate solution</em>
The short segments are also proportional:
(x -1)/(5 -4) = 8/4
x -1 = 2 . . . . simplify
x = 3 . . . . . . add 1
Answer:
P(A and B) is greater than 1 is never happened ⇒ C
Step-by-step explanation:
Two events are independent if the result of the second event is not affected by the result of the first event
If A and B are independent events, the probability of both events is the product of the probabilities of the both events P (A and B) = P(A) · P(B)
∵ The probability of any event is less than 1
∵ P(A) < 1
∵ P(A) > 
- That means P(A) is greater than half and less than 1
∴
< P(A) < 1
∵ P(B) < 1
∵ P(B) > 
- That means P(B) is greater than half and less than 1
∴
< P(B) < 1
∵ P(A and B) = P(A) . P(B)
- Remember the product of any fractions less than 1 is less than 1
∴
< P(A) . P(B) < 1
- That means any expression equals to P(A) . P(B) must be greater
than
and less than 1
∴
< P(A and B) < 1
∴ P(A and B) is greater than 1 is never happened
Question is Incomplete, Complete question is given below.
Consider a model of a train locomotive that has a similarity transformation map of x arrow right 48x from the model to the actual locomotive when answering the question.
If the diameter of the front wheels on the locomotive is 4 feet, what is the diameter of the front wheels on the model? Express the answer in inches.
Answer:
The diameter of front wheel on the model is 1 inch.
Step-by-step explanation:
Given:
Let diameter of the front wheel on the model be 'x'.
Actual diameter of front wheel = 4 feet
Now given that ratio model to actual = 
Now we can say that ratio model to actual is equal to ratio of model diameter of front wheel to actual diameter of front wheel.
framing in equation form we get;

Now we know that;

Hence The diameter of front wheel on the model is 1 inch.